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10202004111420 = 223251131166210559
BaseRepresentation
bin1001010001110101011011…
…0101001100000000111100
31100010022011012121100100200
42110131112311030000330
52314122201023031140
633410422550123500
72102033113065612
oct224352665140074
940108135540320
1010202004111420
11328371139a850
121189272650590
13590077731234
14273acb4596b2
1512a59e2dd030
hex94756d4c03c

10202004111420 has 144 divisors (see below), whose sum is σ = 34848370851840. Its totient is φ = 2393432035200.

The previous prime is 10202004111391. The next prime is 10202004111449. The reversal of 10202004111420 is 2411140020201.

10202004111420 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 200 + 41 + 1 + 1 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (10202004111391) and next prime (10202004111449).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10202004111393 and 10202004111402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83043900 + ... + 83166659.

It is an arithmetic number, because the mean of its divisors is an integer number (242002575360).

Almost surely, 210202004111420 is an apocalyptic number.

10202004111420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202004111420 is an abundant number, since it is smaller than the sum of its proper divisors (24646366740420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10202004111420 is a wasteful number, since it uses less digits than its factorization.

10202004111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166210616 (or 166210611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202004111420 its reverse (2411140020201), we get a palindrome (12613144131621).

The spelling of 10202004111420 in words is "ten trillion, two hundred two billion, four million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 166210559 332421118 498631677 664842236 831052795 997263354 1495895031 1662105590 1828316149 1994526708 2493158385 2991790062 3324211180 3656632298 4986316770 5152527329 5484948447 5983580124 7313264596 7479475155 9141580745 9972633540 10305054658 10969896894 14958950310 15457581987 16454845341 18283161490 20610109316 21939793788 25762636645 27424742235 29917900620 30915163974 32909690682 36566322980 46372745961 51525273290 54849484470 56677800619 61830327948 65819381364 77287909935 82274226705 92745491922 103050546580 109698968940 113355601238 154575819870 164548453410 170033401857 185490983844 226711202476 231863729805 283389003095 309151639740 329096906820 340066803714 463727459610 510100205571 566778006190 680133607428 850167009285 927454919220 1020200411142 1133556012380 1700334018570 2040400822284 2550501027855 3400668037140 5101002055710 10202004111420